Digital SAT Math Problems and Solutions (Part

Problem 1 :

In the figure above, ∠BAC = 20° and AB = AC. If triangles ACD and ADE are isosceles , what is the value of x?

A)  10

B)  15

C)  20

D)  25

Solution :

Problem 2 :

Tom buys a pack of baseball cards everyday. Each pack contains 7 cards, but he gives away the two least valuable ones to his brother. Which of the following best describes the relationship between time (in days) and the total number of baseball cards in Tom’s collection?

A)  Increasing linear

B)  Decreasing linear

C)  Exponential growth

D)  Exponential decay

Solution :

Problem 3 :

Jane is performing an experiment in which she combines
potassium and water to produce potassium hydroxide. The amount of water w, in milliliters needed to create a
chemical reaction between potassium and water can be modeled by the equation w
= 1.6a + 10, where a is the amount of potassium hydroxide,
in grams, Jane wishes to produce from the reaction. According to the model,
what is the meaning of 1.6 in the equation?

A)  An
additional 1.6 milliliters of water is needed to react with one additional gram
of potassium.

B)  An
additional 1.6 milliliters of water is needed to produce one more gram of
potassium hydroxide.

C)  One gram of
potassium hydroxide can be produced by reacting 1.6 milliliters of water with
potassium.

D)  One
additional milliliter of water is needed to produce 1.6 more grams potassium
hydroxide.

Solution :

Problem 4 :

f(x) = [g(x)]²
– 7g(x) – 15

In the equation above, if f(2) = 3, what is the positive value of g(2)?

Solution :

Problem 5 :

A parking meter charges $0.25 for the first 30 minutes
and $0.10 for every additional 5 minutes. If Megan is charged $1.35 for parking
at this specific meter, how many minutes did she park for?

A) 70

B)  75

C)  80

D)  85

Solution :

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